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Finding the Fourth Proportional to 102,671.35, 153,995.18 and 27,787.05

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Solution

The fourth proportional to 102,671.35, 153,995.18 and 27,787.05 is: 41,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,671.35 : 153,995.18 = 27,787.05 : x
  2. Step 2: Convert to fraction form
    102,671.35/153,995.18 = 27,787.05/x
  3. Step 3: Cross multiply
    102,671.35x = 153,995.18 × 27,787.05
  4. Step 4: Simplify right side
    102,671.35x = 4,279,071,627.48
  5. Step 5: Solve for x
    x = 4,279,071,627.48/102,671.35
  6. Step 6: Final answer
    x = 41,677.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.